Unfortunately, owing to the uncertainties in the empirical derivation of a \(\gamma \) -ray excess,
it is difficult to distinguish between the \(\gamma \) -ray spectra obtained for our WIMP models and those that generally follow the analysis of Ref. [1]}. However, we note that
most other DM interpretations of the galactic center excess stress the \(b\overline{b}\) 
channel, whereas in our Model 1 light quarks and leptons dominate in producing the DM annihilation \(\gamma \) -rays while in our Model 2 the \(c\overline{c}\)  channels dominate over the \(b\overline{b}\)  channel. This is a predicted phenomenological difference between our model and other models. At present, owing to the observational uncertainties in determining the DM "signal" over the other processes contributing to the \(\gamma \) -ray "background" in the direction of the galactic center, a definitive test of this difference is difficult.
